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Finding the Fourth Proportional to 13,704.02, 18,911.51 and 7,416.38

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Solution

The fourth proportional to 13,704.02, 18,911.51 and 7,416.38 is: 10,234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.02 : 18,911.51 = 7,416.38 : x
  2. Step 2: Convert to fraction form
    13,704.02/18,911.51 = 7,416.38/x
  3. Step 3: Cross multiply
    13,704.02x = 18,911.51 × 7,416.38
  4. Step 4: Simplify right side
    13,704.02x = 140,254,944.53
  5. Step 5: Solve for x
    x = 140,254,944.53/13,704.02
  6. Step 6: Final answer
    x = 10,234.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.